Find the value of r so the line that passes through each pair of points has the given slope. (r, -5), (3, 13), m = 8

slaggingV

slaggingV

Answered question

2021-01-15

Find the value of r so the line that passes through each pair of points has the given slope. (r, -5), (3, 13), m = 8

Answer & Explanation

Sally Cresswell

Sally Cresswell

Skilled2021-01-16Added 91 answers

1:
m=y2y1x2x1
2:
8=13(5)3r
3:
8=183r
8(3r)=18
248r=18
8r=6
r=64

nick1337

nick1337

Expert2023-05-25Added 777 answers

Answer:
94
Explanation:
To find the value of r such that the line passing through the points (r,5) and (3,13) has a slope of m=8, we can use the formula for slope:
m=y2y1x2x1
Substituting the coordinates of the given points:
8=13(5)3r
Now we can solve for r. Multiplying both sides by 3r:
8(3r)=13(5)
Simplifying:
248r=13+5
Combining like terms:
8r=4224
8r=18
Dividing both sides by 8:
r=188=94
Therefore, the value of r is 94.
Vasquez

Vasquez

Expert2023-05-25Added 669 answers

To find the value of r such that the line passing through the points (r,5) and (3,13) has a slope of m=8, we can use the slope formula:
m=y2y1x2x1
where (x1,y1) and (x2,y2) are the coordinates of the two points on the line.
Substituting the given values, we have:
8=13(5)3r
Now, let's solve this equation for r.
Cross-multiplying, we get:
8(3r)=13(5)
Expanding the brackets:
248r=13+5
Combining like terms:
8r+24=18
Subtracting 24 from both sides:
8r=1824
Simplifying:
8r=6
Dividing both sides by 8:
r=68
Simplifying further:
r=34
Therefore, the value of r that satisfies the given conditions is 34.
RizerMix

RizerMix

Expert2023-05-25Added 656 answers

The slope of a line passing through two points, (x1,y1) and (x2,y2), is given by:
m=y2y1x2x1
In this case, we have the points (r,5) and (3,13), and we want the slope to be m=8. So we can set up the equation:
8=13(5)3r
Simplifying the equation, we have:
8=183r
To eliminate the fraction, we can multiply both sides of the equation by (3r):
(3r)·8=18
Expanding the left side:
248r=18
Next, we can isolate r by moving the constant term to the other side:
8r=1824
Simplifying further:
8r=6
Dividing both sides by 8:
r=68
Finally, we can simplify the expression for r:
r=34
Therefore, the value of r that satisfies the given conditions is r=34.

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